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Anna007 [38]
2 years ago
6

Kelly has 4 times as many songs on her music player as Lou. Tiffany has 6 times as many songs on her

Mathematics
2 answers:
WITCHER [35]2 years ago
5 0

Answer:

Kelly has 248 songs on her music player.

Step-by-step explanation:

k=kelly, T= tiffany, and L = Lou

K= 4L, T = 6L

682= L + 4L + 6L

682 = 11L

682/11 = 11L/11

62 = L

So 4L = 248

Hope this helped :)

Novosadov [1.4K]2 years ago
4 0

Answer:

113

Step-by-step explanation:

we need to know how much Lou has first !

so we have to do 682 / 6 which = 113

then 113 / 4 = 28.2

28.2 is how much Lou has

so we will go back and multiply the 4

28.2 x 4 =113

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The hypotenuse of a right triangle is 1 centimeter longer than one side and 4 centimeters longer than three times the other side
snow_tiger [21]

Answer:

Hypotenuse = 25cm

Opposite = 24cm

Adjacent = 7cm

Step-by-step explanation:

Represent:

  • The opposite with a
  • The adjacent with b
  • The hypotenuse with c

Given that:

c = 1 + a

c = 4 + 3b

Required

Solve for a, b and c

c = c

So, we have:

1 + a = 4 + 3b

Subtract 1 from both sides

a = 4 -1 + 3b

a = 3 + 3b

Apply Pythagoras Theorem

c^2 = a^2 + b^2

Substitute 3 + 3b for a and 4 + 3b for c

(4 + 3b)^2 = (3 + 3b)^2 + b^2

Open brackets

16 + 12b+12b+9b^2 = 9 + 9b+9b+9b^2 +b^2

16 + 24b+9b^2 = 9 + 18b+10b^2

Collect Like Terms

10b^2 - 9b^2 + 18b - 24b + 9 - 16 = 0

b^2 - 6b -7 = 0

Expand

b^2 +b-7b-7=0

Factorize:

b(b+1)-7(b+1) =0

(b-7)(b+1) = 0

Split:

b - 7 = 0\ or\ b+1=0

b = 7\ or\ b=-1

But the adjacent of a triangle can't have a negative measurement.

So:

b = 7

Recall that:

c = 4 + 3b

a = 3 + 3b

Substitute 7 for b in the above expressions

c = 4 + 3 * 7

c = 4 + 21

c = 25

a = 3 + 3 * 7

a = 3 + 21

a = 24

Hence, the dimensions of the triangle are:

Hypotenuse = 25cm

Opposite = 24cm

Adjacent = 7cm

5 0
3 years ago
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Lena [83]

Answer:the size of the button hole is 2.35 cm

Step-by-step explanation:

For a button to fit through its button-hole, the hole needs to be the size of the buttons diameter.

The formula for determining the circumference of a circle is expressed as

Circumference = πd or 2πr

Where

d represents the diameter of the circle

π is a constant given as 3.14

From the information given, the circumference of the button is 7.38 cm. Therefore, the diameter of the button will be

d = circumference/π = 7.38/3.14

d = 2.35 cm

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Answer:

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Step-by-step explanation:

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IRISSAK [1]

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Step-by-step explanation:

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